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3495882240 = 2934523733
BaseRepresentation
bin1101000001011110…
…1110111000000000
3100000122010012220000
43100113232320000
524124421212430
61334520520000
7152426336334
oct32027567000
910018105800
103495882240
111534375084
12816920000
13439357296
142524097c4
15156d96e60
hexd05eee00

3495882240 has 400 divisors, whose sum is σ = 13083367968. Its totient is φ = 890486784.

The previous prime is 3495882239. The next prime is 3495882251. The reversal of 3495882240 is 422885943.

3495882240 is a `hidden beast` number, since 3 + 4 + 9 + 588 + 22 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4768914 + ... + 4769646.

Almost surely, 23495882240 is an apocalyptic number.

3495882240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3495882240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6541683984).

3495882240 is an abundant number, since it is smaller than the sum of its proper divisors (9587485728).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3495882240 is an equidigital number, since it uses as much as digits as its factorization.

3495882240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 791 (or 766 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The square root of 3495882240 is about 59125.9861651372. The cubic root of 3495882240 is about 1517.6988263448.

The spelling of 3495882240 in words is "three billion, four hundred ninety-five million, eight hundred eighty-two thousand, two hundred forty".